7(y-8)+24=10(y-6)

Solution for 7(y-8)+24=10(y-6) equation:

Simplifying
7(y + -8) + 24 = 10(y + -6)

Reorder the terms:
7(-8 + y) + 24 = 10(y + -6)
(-8 * 7 + y * 7) + 24 = 10(y + -6)
(-56 + 7y) + 24 = 10(y + -6)

Reorder the terms:
-56 + 24 + 7y = 10(y + -6)

Combine like terms: -56 + 24 = -32
-32 + 7y = 10(y + -6)

Reorder the terms:
-32 + 7y = 10(-6 + y)
-32 + 7y = (-6 * 10 + y * 10)
-32 + 7y = (-60 + 10y)

Solving
-32 + 7y = -60 + 10y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-10y' to each side of the equation.
-32 + 7y + -10y = -60 + 10y + -10y

Combine like terms: 7y + -10y = -3y
-32 + -3y = -60 + 10y + -10y

Combine like terms: 10y + -10y = 0
-32 + -3y = -60 + 0
-32 + -3y = -60

Add '32' to each side of the equation.
-32 + 32 + -3y = -60 + 32

Combine like terms: -32 + 32 = 0
0 + -3y = -60 + 32
-3y = -60 + 32

Combine like terms: -60 + 32 = -28
-3y = -28

Divide each side by '-3'.
y = 9.333333333

Simplifying
y = 9.333333333